1790484848100 has 729 divisors, whose sum is σ = 6295361916753. Its totient is φ = 425448391680.

The previous prime is 1790484848029. The next prime is 1790484848111. The reversal of 1790484848100 is 18484840971.

The square root of 1790484848100 is 1338090.

It is a perfect power (a square), and thus also a powerful number.

1790484848100 is a `hidden beast` number, since 1 + 7 + 9 + 0 + 484 + 84 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1612508863716 + 177975984384 = 1269846^2 + 421872^2 .

It is a super-2 number, since 2×1790484848100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 24527189664 + ... + 24527189736.

Almost surely, 2^{1790484848100} is an apocalyptic number.

1790484848100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1790484848100 is the 1338090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1790484848100

1790484848100 is an abundant number, since it is smaller than the sum of its proper divisors (4504877068653).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1790484848100 is a wasteful number, since it uses less digits than its factorization.

1790484848100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1790484848100 in words is "one trillion, seven hundred ninety billion, four hundred eighty-four million, eight hundred forty-eight thousand, one hundred".